Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45662h |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
374544 |
Modular degree for the optimal curve |
Δ |
-27514563783625592 = -1 · 23 · 178 · 793 |
Discriminant |
Eigenvalues |
2+ 1 0 2 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117196,-17392478] |
[a1,a2,a3,a4,a6] |
Generators |
[513780964107204778749312093888210:-12675757834293823883940622010651557:670307867750127188574950859000] |
Generators of the group modulo torsion |
j |
-25519101625/3944312 |
j-invariant |
L |
6.2535066261876 |
L(r)(E,1)/r! |
Ω |
0.12792600725518 |
Real period |
R |
48.883778680853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45662b1 |
Quadratic twists by: 17 |